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Researchers have finally solved the cryptic deathbed puzzle renowned Indian mathematician Srinivasa Ramanujan claimed came to him in dreams. While on his death-bed in 1920, Ramanujan wrote a letter to his mentor, English mathematician G. H. Hardy, outlining several new mathematical functions never before heard of, along with a hunch about how they worked,
Decades years later, researchers say they've proved he was right - and that the formula could explain the behaviour of black holes. 'We've solved the problems from his last mysterious letters,' Emory University mathematician Ken Ono said. 'For people who work in this area of math, the problem has been open for 90 years,'
Ramanujan, a self-taught mathematician born in a rural village in South India, spent so much time thinking about math that he flunked out of college in India twice, Ono said. Ramanujan's letter described several new functions that behaved differently from known theta functions, or modular forms, and yet closely mimicked them. Functions are equations that can be drawn as graphs on an axis, like a sine wave, and produce an output when computed for any chosen input or value.
Ramanujan conjectured that his mock modular forms corresponded to the ordinary modular forms earlier identified by Carl Jacobi, and that both would wind up with similar outputs for roots of 1. Ramanujan, a devout Hindu, thought these patterns were revealed to him by the goddess Namagiri.....
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